1072081920 has 528 divisors, whose sum is σ = 4315403520. Its totient is φ = 222363648.

The previous prime is 1072081909. The next prime is 1072081949. The reversal of 1072081920 is 291802701.

1072081920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072081920² = 2298719286381772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18170851 + ... + 18170909.

Almost surely, 2^1072081920 is an apocalyptic number.

1072081920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157701760).

1072081920 is an abundant number, since it is smaller than the sum of its proper divisors (3243321600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072081920 is a wasteful number, since it uses less digits than its factorization.

1072081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1072081920 is about 32742.6620787009. The cubic root of 1072081920 is about 1023.4720585864.

The spelling of 1072081920 in words is "one billion, seventy-two million, eighty-one thousand, nine hundred twenty".